Fractal just infinite nil Lie superalgebra of finite width

DOI10.1016/j.jalgebra.2018.02.014zbMath1422.16019arXiv1707.06614OpenAlexW2963017073WikidataQ115350627 ScholiaQ115350627MaRDI QIDQ1644838

Otto Augusto de Morais Costa, Victor M. Petrogradsky

Publication date: 22 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06614

zbMATH Keywords

growthLie algebras of differential operatorsgraded algebrasLie superalgebrasGelfand-Kirillov dimensionrestricted Lie algebraslinear growthfiliform Lie algebrasnil-algebrasself-similar algebrasfinite widthfractal algebrasjust infinitethin Lie algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Lie algebras of vector fields and related (super) algebras (17B66) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Rings of differential operators (associative algebraic aspects) (16S32) Modular Lie (super)algebras (17B50)

Related Items (6)

Clover nil restricted Lie algebras of quasi-linear growth ⋮ A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ Herstein's construction for just infinite superalgebras ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ On Jordan doubles of slow growth of Lie superalgebras

Uses Software

• OEIS

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